Cube Command

Cube[ <Point>, <Point>, <Direction> ]

Creates a cube having the segment between the two points as an edge.

The other vertices are uniquely determined by the given direction, that should be one of:

• a vector, a segment, a line, a ray orthogonal to the segment, or
• a polygon, a plane parallel to the segment.

The created cube will have:

• a face with the segment as an edge in a plane orthogonal to the given vector/segment/line/ray, or
• a face with the segment as an edge in a plane parallel to the polygon/plane.

Cube[ <Point>, <Point>, <Point>]

Creates a cube with three (adjacent) points of the first face. The points have to start a square for the cube to be defined.

Cube[ <Point>, <Point>]

Creates a cube with the two first points of the first face, and the third point automatically created on a circle, so that the cube can rotate around its first edge.

Note: Cube[A, B] is a shortcut for Cube[A, B, C] with C = Point[Circle[B, Distance[A, B], Segment[A, B]]].

Note: See also Tetrahedron, Octahedron, Icosahedron, Dodecahedron commands.